PPT-Combinations

Definition of Combination An arrangement of objects in which the order of selection does NOT matter Ex You have to visit three out of your four friends houses Andrew A Betty B Carlos C Dave D What are the different ways to select the 3 houses to visit. Permutations with Repetition. Theorem 1: . The number of . r-permutations. of a set of . n. objects with repetition allowed is . n. r. . .. Example 1:. How many strings of length . r. can be formed from the English alphabet?. Statistics group. Axelborg. 16/01 2012. Anders . Stockmarr,. DTU Data Analysis. Joint work with . Peter Heegaard . and . Nanna Skall Sørensen. Acute Phase Proteins – APP’s:. Proteins whose plasma concentrations . MATHEMATICAL GAMESThe fantastic combinations of John by Martin Gardner Scientific AmericanMost of the work of John Horton Conway Gonville and Caius College University of Cambridgesome call it "Conwa Section 6.3. Section Summary. Permutations. Combinations. Combinatorial Proofs. Permutations. Definition. : A . permutation. of a set of distinct objects is an ordered arrangement of these objects. An ordered arrangement of r elements of a set is called an . Finally I am becoming stupider no more.. -Paul . Erd. ö. s. the epitaph he wrote for himself. Find Probabilities Using Combinations. Section 13.3. Objectives:. Define combination. Find probabilities using combinations. Other Counting Tools: Factorials. MATH 110 Sec 12-3 Lecture: Permutations and Combinations . Other Counting Tools: Factorials. Sometimes we are interested in counting the number of different arrangements of a group of objects.. Evaluate the following. 6!. MATH 110 Sec 12.3 Permutations and Combinations Practice Exercises . Evaluate the following. 6! = 6 x 5 x 4 x 3 x 2 x 1. MATH 110 Sec 12.3 Permutations and Combinations Practice Exercises . Permutations with Repetition. Theorem 1: . The number of . r-permutations. of a set of . n. objects with repetition allowed is . n. r. . .. Example 1:. How many strings of length . r. can be formed from the English alphabet?. Other Counting Tools: Factorials. MATH 110 Sec 12-3 Lecture: Permutations and Combinations . Other Counting Tools: Factorials. Sometimes we are interested in counting the number of different arrangements of a group of objects.. DM. 13. The Fundamental Counting Theory. A method for counting outcomes of multi-stage processes. If you want to perform a series of tasks and the first task can be done in (a) ways, the second can be done in (b) ways, the third can be done in (c) ways, and so on, then all the tasks can be done in a x b x c…ways . Statistics group. Axelborg. 16/01 2012. Anders . Stockmarr,. DTU Data Analysis. Joint work with . Peter Heegaard . and . Nanna Skall Sørensen. Acute Phase Proteins – APP’s:. Proteins whose plasma concentrations . M11.E.3.2.1: Determine the number of permutations and/or combinations or apply the fundamental counting principle. Objectives. Permutations. Combinations. Vocabulary. A . permutation. is an arrangement of items in a particular order.. GPS: What is it?. GPS is the Graduation Planning System. It will provide students with a clear and direct path to degree completion. GPS Website – . http://www.kent.edu/gps. 2. GPS – Major Components. 4. Compute the number of combinations of . n. individuals taken . k. at a time.. Use . combinations to calculate probabilities.. Use . the multiplication counting principle and combinations to calculate probabilities..